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47 Nuclear Mappings

Abstract

Publisher Summary This chapter discusses nuclear mappings. The chapter considers two locally convex Hausdorff spaces E, F and the tensor product E′ F of the dual of E with F, regarded as a linear subspace of L(E; F), space of continuous linear maps E →F—namely, the subspace of these maps whose image is finite dimensional. The chapter also gives the definition of a nuclear operator in the general case of two locally convex Hausdorff spaces E, F, not necessarily Banach spaces.

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